Log in

Relevant bibliographies by topics / Unitary (orthogonally) invariance

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers

Academic literature on the topic 'Unitary (orthogonally) invariance'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Unitary (orthogonally) invariance.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Unitary (orthogonally) invariance"

1

Singh, Satvik, and Ion Nechita. "Diagonal unitary and orthogonal symmetries in quantum theory." Quantum 5 (August 9, 2021): 519. http://dx.doi.org/10.22331/q-2021-08-09-519.

Full text

Abstract:

We analyze bipartite matrices and linear maps between matrix algebras, which are respectively, invariant and covariant, under the diagonal unitary and orthogonal groups' actions. By presenting an expansive list of examples from the literature, which includes notable entries like the Diagonal Symmetric states and the Choi-type maps, we show that this class of matrices (and maps) encompasses a wide variety of scenarios, thereby unifying their study. We examine their linear algebraic structure and investigate different notions of positivity through their convex conic manifestations. In particular

APA, Harvard, Vancouver, ISO, and other styles

2

Carlisle, D., and P. H. Kropholler. "Rational Invariants of certain Orthogonal and Unitary Groups." Bulletin of the London Mathematical Society 24, no. 1 (1992): 57–60. http://dx.doi.org/10.1112/blms/24.1.57.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Chruściński, Dariusz, and Andrzej Kossakowski. "Rotationally Invariant Multipartite States." Open Systems & Information Dynamics 14, no. 01 (2007): 25–40. http://dx.doi.org/10.1007/s11080-007-9026-6.

Full text

Abstract:

We construct a class of multipartite states possessing rotational SO (3) symmetry — these are states of K spin-jA particles and K spin-jB particles. The construction of symmetric states follows our two recent papers devoted to unitary and orthogonal multipartite symmetry. We study basic properties of multipartite SO (3) symmetric states: separability criteria and multi-PPT conditions.

APA, Harvard, Vancouver, ISO, and other styles

4

Atkin, C. J. "The Finsler geometry of groups of isometries of Hilbert Space." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 42, no. 2 (1987): 196–222. http://dx.doi.org/10.1017/s1446788700028202.

Full text

Abstract:

AbstractThe paper deals with six groups: the unitary, orthogonal, symplectic, Fredholm unitary, special Fredholm orthogonal, and Fredholm symplectic groups of an infinite-dimensional Hilbert space. When each is furnished with the invariant Finsler structure induced by the operator-norm on the Lie algebra, it is shown that, between any two points of the group, there exists a geodesic realising this distance (often, indeed, a unique geodesic), except in the full orthogonal group, in which there are pairs of points that cannot be joined by minimising geodesics, and also pairs that cannot even be

APA, Harvard, Vancouver, ISO, and other styles

5

Urzúa, Alejandro R., Irán Ramos-Prieto, Manuel Fernández-Guasti, and Héctor M. Moya-Cessa. "Solution to the Time-Dependent Coupled Harmonic Oscillators Hamiltonian with Arbitrary Interactions." Quantum Reports 1, no. 1 (2019): 82–90. http://dx.doi.org/10.3390/quantum1010009.

Full text

Abstract:

We show that by using the quantum orthogonal functions invariant, we found a solution to coupled time-dependent harmonic oscillators where all the time-dependent frequencies are arbitrary. This system may be found in many applications such as nonlinear and quantum physics, biophysics, molecular chemistry, and cosmology. We solve the time-dependent coupled harmonic oscillators by transforming the Hamiltonian of the interaction using a set of unitary operators. In passing, we show that N time-dependent and coupled oscillators have a generalized orthogonal functions invariant from which we can wr

APA, Harvard, Vancouver, ISO, and other styles

6

Chu, Huah. "Supplementary Note on ‘Rational Invariants of Certain Orthogonal and Unitary Groups’." Bulletin of the London Mathematical Society 29, no. 1 (1997): 37–42. http://dx.doi.org/10.1112/s0024609396001580.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

MacDONALD, MARK L. "Cohomological invariants of odd degree Jordan algebras." Mathematical Proceedings of the Cambridge Philosophical Society 145, no. 2 (2008): 295–303. http://dx.doi.org/10.1017/s0305004108001485.

Full text

Abstract:

AbstractIn this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3. This has already been done for J of orthogonal and exceptional type, and we extend these results to unitary and symplectic type. We will use our results to compute the essential dimensions of some groups, for example we show that ed(PSp2n) = n + 1 for n odd.

APA, Harvard, Vancouver, ISO, and other styles

8

Lopushansky, Oleh. "Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group." Abstract and Applied Analysis 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/810735.

Full text

Abstract:

We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group. With the help of this system, a corresponding Hardy-type space of square-integrable complex functions is described. An antilinear isomorphism between the Hardy-type space and an associated symmetric Fock space is established.

APA, Harvard, Vancouver, ISO, and other styles

9

CHEN, YIN. "THE INVARIANTS FIELD OF SOME FINITE PROJECTIVE LINEAR GROUP ACTIONS." Bulletin of the Australian Mathematical Society 85, no. 1 (2011): 19–25. http://dx.doi.org/10.1017/s000497271100253x.

Full text

Abstract:

AbstractLet Fq be a finite field with q elements, V an n-dimensional vector space over Fq and 𝒱 the projective space associated to V. Let G≤GLn(Fq) be a classical group and PG be the corresponding projective group. In this note we prove that if Fq (V )G is purely transcendental over Fq with homogeneous polynomial generators, then Fq (𝒱)PG is also purely transcendental over Fq. We compute explicitly the generators of Fq (𝒱)PG when G is the symplectic, unitary or orthogonal group.

APA, Harvard, Vancouver, ISO, and other styles

10

Kieburg, Mario, Johan Grönqvist, and Thomas Guhr. "Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case." Journal of Physics A: Mathematical and Theoretical 42, no. 27 (2009): 275205. http://dx.doi.org/10.1088/1751-8113/42/27/275205.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Unitary (orthogonally) invariance"

1

Saad, Nadia Abdel Samie Basyouni Kotb. "Random Matrix Theory with Applications in Statistics and Finance." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/23698.

Full text

Abstract:

This thesis investigates a technique to estimate the risk of the mean-variance (MV) portfolio optimization problem. We call this technique the Scaling technique. It provides a better estimator of the risk of the MV optimal portfolio. We obtain this result for a general estimator of the covariance matrix of the returns which includes the correlated sampling case as well as the independent sampling case and the exponentially weighted moving average case. This gave rise to the paper, [CMcS]. Our result concerning the Scaling technique relies on the moments of the inverse of compound Wishart matri

APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Unitary (orthogonally) invariance"

1

Dyson, Freeman. Spectral statistics of unitary ensembles. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.4.

Full text

Abstract:

This article focuses on the use of the orthogonal polynomial method for computing correlation functions, cluster functions, gap probability, Janossy density, and spacing distributions for the eigenvalues of matrix ensembles with unitary-invariant probability law. It first considers the classical families of orthogonal polynomials (Hermite, Laguerre, and Jacobi) and some corresponding unitary ensembles before discussing the statistical properties of N-tuples of real numbers. It then reviews the definitions of basic statistical quantities and demonstrates how their distributions can be made expl

APA, Harvard, Vancouver, ISO, and other styles

2

Akemann, Gernot, Jinho Baik, and Philippe Di Francesco, eds. The Oxford Handbook of Random Matrix Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.001.0001.

Full text

Abstract:

This handbook showcases the major aspects and modern applications of random matrix theory (RMT). It examines the mathematical properties and applications of random matrices and some of the reasons why RMT has been very successful and continues to enjoy great interest among physicists, mathematicians and other scientists. It also discusses methods of solving RMT, basic properties and fundamental objects in RMT, and different models and symmetry classes in RMT. Topics include the use of classical orthogonal polynomials (OP) and skew-OP to solve exactly RMT ensembles with unitary, and orthogonal

APA, Harvard, Vancouver, ISO, and other styles

3

Bohigas, Oriol, and Hans Weidenmuller. History – an overview. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.2.

Full text

Abstract:

This article discusses the first four decades of the history of random matrix theory (RMT), that is, until about 1990. It first considers Niels Bohr's formulation of the concept of the compound nucleus, which is at the root of the use of random matrices in physics, before analysing the development of the theory of spectral fluctuations. In particular, it examines the Wishart ensemble; Dyson's classification leading to the three canonical ensembles — Gaussian Orthogonal Ensemble (GOE), Gaussian Unitary Ensemble (GUE), and Gaussian Symplectic Ensemble (GSE); and the breaking of a symmetry or an

APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Unitary (orthogonally) invariance"

1

"Fröhlich’s invariant, Clifford algebras and the equivariant Brauer-Wall group." In Introduction to Orthogonal, Symplectic and Unitary Representations of Finite Groups. American Mathematical Society, 2011. http://dx.doi.org/10.1090/fim/028/06.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Unitary (orthogonally) invariance"

1

Ma, Junjie, and Li Ping. "Orthogonal AMP for compressed sensing with unitarily-invariant matrices." In 2016 IEEE Information Theory Workshop (ITW). IEEE, 2016. http://dx.doi.org/10.1109/itw.2016.7606840.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!